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Finding the Fourth Proportional to 192.82, 287.21 and 185.98

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Solution

The fourth proportional to 192.82, 287.21 and 185.98 is: 277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.82 : 287.21 = 185.98 : x
  2. Step 2: Convert to fraction form
    192.82/287.21 = 185.98/x
  3. Step 3: Cross multiply
    192.82x = 287.21 × 185.98
  4. Step 4: Simplify right side
    192.82x = 53,415.32
  5. Step 5: Solve for x
    x = 53,415.32/192.82
  6. Step 6: Final answer
    x = 277.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.